Greatest Common Factor of 3321/508, 1466/6876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3321/508, 1466/6876

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3321/508,1466/6876

Given fractions are 3321/508,1466/6876

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3321,1466

Greatest Common Factor of Numerators i.e. GCF of 3321,1466 is 1 .

LCM of Denominators means LCM of 508,6876 as per the given fractions.

LCM of 508,6876 is 873252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3321,1466

GCF of Fractions 3321/508,1466/6876 is 1/873252

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3321,1466 By Matching Biggest Common Factor Method

Greatest Common Factor of 3321,1466 By Matching Biggest Common Factor Method

Factors of 3321

List of positive integer factors of 3321 that divides 3321 without a remainder.

1,3,9,27,41,81,123,369,1107,3321

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Greatest Common Factor

We found the factors 3321,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 3321,1466 is 1.

Lets's calculate LCM of 508,6876

2 508, 6876
2 254, 3438
127, 1719

∴ So the LCM of the given numbers is 2 x 2 x 127 x 1719 = 873252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/873252

Therefore, the GCF of Fractions 3321/508,1466/6876 is 1/873252

Least Common Multiple of 508,6876 with GCF Formula

Least Common Multiple of 508,6876 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 508,6876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,6876) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(508,6876) x common factors =4 x 1 = 4

LCM(508,6876) = ( 508 × 6876 ) / 4

LCM(508,6876) = 3493008 / 4

LCM(508,6876) = 873252


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3321/508, 1466/6876

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3321/508, 1466/6876?

Answer: GCF of Numerators as per given numbers 3321/508, 1466/6876 is

GCF of Numerators i.e. for 3321,1466 is 1

LCM of denominators i.e. for 508,6876 is 873252.

Thus, GCF of Fractions is 1/873252.Finally, GCF of Fractions for 3321/508, 1466/6876 is 1/873252.